(a) The baryon has mean decay length (PDG). Using , find its width in eV. (b) A (mass…

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Particles, interactions and experiment · Particles, interactions and experiment

Symmetry and Flavour, Ch Four-vectors at work: boosts, invariants and the shape of a final state

Problem

(a) The Λ0\Lambda^0 baryon has mean decay length cτ=7.89 cmc\tau = 7.89\,\mathrm{cm} (PDG). Using ℏc=0.19733 GeV fm\hbar c = 0.19733\,\mathrm{GeV\,fm}, find its width Γ\Gamma in eV. (b) A Λ0\Lambda^0 (mass mΛ=1.115 GeVm_\Lambda = 1.115\,\mathrm{GeV}) is produced with transverse momentum pT=2.00 GeVp_T = 2.00\,\mathrm{GeV} at polar angle θ=20.0∘\theta = 20.0^\circ to the beam direction. Find its pseudorapidity η\eta and its rapidity yy, and state which of the two is larger and why.

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